Pith Number

pith:TFPZ462G

pith:2025:TFPZ462GKTJMZECZKJ75AGTCE7

not attested not anchored not stored refs pending

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo

Vishwak Srinivasan

arxiv:2509.15410 v2 · 2025-09-18 · math.PR · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFPZ462GKTJMZECZKJ75AGTCE7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-30T01:17:26.449545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995f9e7b4654d2cc9059527fd01a6227c6af275d56855c55aa4db76c735b84a7

Aliases

arxiv: 2509.15410 · arxiv_version: 2509.15410v2 · doi: 10.48550/arxiv.2509.15410 · pith_short_12: TFPZ462GKTJM · pith_short_16: TFPZ462GKTJMZECZ · pith_short_8: TFPZ462G

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TFPZ462GKTJMZECZKJ75AGTCE7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 995f9e7b4654d2cc9059527fd01a6227c6af275d56855c55aa4db76c735b84a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3c4d4140e5a0d13d00c57eae81860a0c213c01f6da9709ce51da8931d280285",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-18T20:37:47Z",
    "title_canon_sha256": "51b15e1f99a26f18f97d8d293eb6a202394137a90d9890b1e6989309526c4487"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.15410",
    "kind": "arxiv",
    "version": 2
  }
}